5 citations · 13 across the 12 of their papers we have counts for
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The third partial cohomology group and existence of extensions of semilattices of groups by groups
Mikhailo Dokuchaev, Mykola Khrypchenko, Mayumi Makuta
We introduce the concept of a partial abstract kernel associated to a group G and a semilattice of groups A and relate the partial cohomology group H^3(G,C(A)) with the obstruction…
The geometric classification of nilpotent Tortkara algebras
Ilya Gorshkov, Ivan Kaygorodov, Mykola Khrypchenko
We give a geometric classification of all -dimensional nilpotent Tortkara algebras over
Globalization of group cohomology in the sense of Alvares-Alves-Redondo
Mikhailo Dokuchaev, Mykola Khrypchenko, Juan Jacobo Simón
Recently E. R. Alvares, M. M. Alves and M. J. Redondo introduced a cohomology for a group with values in a module over the partial group algebra , which is…
The algebraic classification of nilpotent Tortkara algebras
Ilya Gorshkov, Ivan Kaygorodov, Mykola Khrypchenko
We classify all -dimensional nilpotent Tortkara algebras over
Lie-type Derivations of Finitary Incidence Algebras
Mykola Khrypchenko, Feng Wei
Let be an arbitrary partially ordered set, a commutative ring with identity and the finitary incidence algebra of over . Under some natural assumption on $…